Finite Group Databasebeta

← C2×#19149101 #26004050

Subgroups — C2×#19149101 #26004050

Order 11008.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149101C2132yesmaximal, direct product factor
2C2×#14583648C214yesmaximal, complemented
3C2×#14583634C212yesmaximal, complemented
4C2×#14583627C212yesmaximal, complemented
5C2×#14583622C212yesmaximal, complemented
6C2×#14583609C212yesmaximal, complemented
7C2×#14583581C214yesmaximal, complemented
8C2×#14583520C212yesmaximal, complemented
9C2×#14583519C214yesmaximal, complemented
10C2×#14583511C211yesmaximal, characteristic, complemented
11C2×#14583504C211yesmaximal, characteristic
12C2×#14583495C214yesmaximal, complemented
13C2×#14583433C212yesmaximal, complemented
14C2×C43×#533C211yesmaximal, characteristic, complemented
15#14583648C22164yescomplemented
16#14583634C22132yescomplemented
17#14583627C22132yescomplemented
18#14583622C22132yescomplemented
19#14583609C22132yescomplemented
20#14583581C22164yescomplemented
21#14583520C22132yescomplemented
22#14583519C22164yescomplemented
23#14583511C22116yescomplemented
24#14583504C22116yes—
25#14583495C22164yescomplemented
26C2×#13063325C2212yes—
27C2×#13063325C2211yescharacteristic
28C2×#13063323C2214yes—
29C2×#13063322C2211yescharacteristic
30#14583433C22132yescomplemented
31C2×#13063320C2214yes—
32C2×#13063320C2214yes—
33C2×#13063320C2214yes—
34C2×#13063319C2214yes—
35C2×#13063318C2214yes—
36C2×#13063317C2212yes—
37C2×#13063317C2211yescharacteristic
38C2×#13063317C2211yescharacteristic
39C2×#13063315C2214yes—
40C2×#13063315C2214yes—
41C2×#13063315C2214yes—
42C2×#13063314C2214yes—
43C2×#13063313C2212yes—
44C2×#13063313C2212yes—
45C2×#13063311C2214yes—
46C2×#13063310C2214yes—
47C2×#13063310C2214yes—
48C2×#13063310C2214yes—
49C2×#13063308C2214yes—
50C2×#13063307C2214yes—
51C2×#13063304C2212yes—
52C2×#13063303C2214yes—
53C2×#13063303C2214yes—
54C2×#13063303C2214yes—
55C2×#13063301C2214yes—
56C2×#13063301C2214yes—
57C2×#13063299C2212yes—
58C2×#13063298C2214yes—
59C2×C4×Dic86C2212yes—
60C2×C4×Dic86C2212yes—
61C2×C4×Dic86C2212yes—
62C2×#13063290C2214yes—
63C2×C4×D172C2212yes—
64C2×C4×D172C2212yes—
65C2×C4×D172C2212yes—
66C2×#13063287C2214yes—
67C2×C4×C22⋊D43C2214yes—
68C2×#13063283C2214yes—
69C2×#13063282C2214yes—
70C2×C4⋊C4×D43C2214yes—
71C43×#533C22116yescomplemented
72C2×C4⋊Q8×C43C2212yes—
73C2×#125×C43C2212yes—
74C2×C22⋊Q8×C43C2212yes—
75C2×C22⋊Q8×C43C2212yes—
76C2×C4×Q8×C43C2212yes—
77C2×C4×Q8×C43C2212yes—
78C2×#117×C43C2211yescharacteristic
79C2×#117×C43C2211yescharacteristic
80C22×C42×C43C2211yescharacteristic
81C22×Dic86C2312yes—
82C22×Dic86C2314yes—
83C22×D172C2312yes—
84C22×D172C2314yes—
85C22×C22⋊D43C2314yes—
86C22×C4×D43C2314yes—
87C22×C4×D43C2314yes—
88C22×C4×D43C2314yes—
89#13063325C23116yes—
90#13063325C2318yes—
91#13063323C23132yes—
92#13063322C2318yes—
93#13063320C23132yes—
94#13063320C23132yes—
95#13063320C23132yes—
96#13063319C23132yes—
97#13063318C23132yes—
98#13063317C2318yes—
99#13063317C23116yes—
100#13063317C2318yes—
101#13063315C23132yes—
102#13063315C23132yes—
103#13063315C23132yes—
104#13063314C23132yes—
105#13063313C23116yes—
106#13063313C23116yes—
107#13063311C23132yes—
108#13063310C23132yes—
109#13063310C23132yes—
110#13063310C23132yes—
111#13063308C23132yes—
112#13063307C23132yes—
113#13063304C23116yes—
114#13063303C23132yes—
115#13063303C23132yes—
116#13063303C23132yes—
117#13063301C23132yes—
118#13063301C23132yes—
119#13063299C23116yes—
120#13063298C23132yes—
121C4×Dic86C23116yes—
122C4×Dic86C23116yes—
123C4×Dic86C23116yes—
124#13063290C23132yes—
125C4×D172C23116yes—
126C4×D172C23116yes—
127C4×D172C23116yes—
128#13063287C23132yes—
129C4×C22⋊D43C23132yes—
130#13063283C23132yes—
131#13063282C23132yes—
132C2×C4⋊Dic43C2314yes—
133C2×C4⋊Dic43C2314yes—
134C2×C4⋊Dic43C2312yes—
135C2×C4⋊Dic43C2312yes—
136C2×Dic43⋊C4C2314yes—
137C2×Dic43⋊C4C2314yes—
138C2×Dic43⋊C4C2314yes—
139C2×Dic43⋊C4C2314yes—
140C2×Dic43⋊C4C2314yes—
141C2×Dic43⋊C4C2314yes—
142C2×Dic43⋊C4C2314yes—
143C2×Dic43⋊C4C2314yes—
144C4⋊C4×D43C23132yes—
145C2×C22⋊Dic43C2314yes—
146C2×(C2×D43)⋊C4C2314yes—
147C2×(C2×D43)⋊C4C2314yes—
148C2×(C2×D43)⋊C4C2314yes—
149C2×(C2×D43)⋊C4C2314yes—
150C2×(C2×D43)⋊C4C2314yes—
151C2×(C2×D43)⋊C4C2314yes—
152C2×(C2×D43)⋊C4C2314yes—
153C2×(C2×D43)⋊C4C2314yes—
154C2×C4×Dic43C2314yes—
155C2×C4×Dic43C2314yes—
156C2×C4×Dic43C2314yes—
157C22×Q8×C43C2312yes—
158C22×Q8×C43C2312yes—
159C23×C4×C43C2311yescharacteristic
160C23×C4×C43C2312yes—
161C4⋊Q8×C43C23116yes—
162#125×C43C23116yes—
163C22⋊Q8×C43C23116yes—
164C22⋊Q8×C43C23116yes—
165C4×Q8×C43C23116yes—
166C4×Q8×C43C23116yes—
167#117×C43C2318yes—
168#117×C43C2318yes—
169C2×C4⋊C4×C43C2312yes—
170C2×C4⋊C4×C43C2312yes—
171C2×C4⋊C4×C43C2312yes—
172C2×C4⋊C4×C43C2312yes—
173C2×C4⋊C4×C43C2312yes—
174C2×C4⋊C4×C43C2312yes—
175C2×C4⋊C4×C43C2312yes—
176C2×C4⋊C4×C43C2312yes—
177C2×C22⋊C4×C43C2312yes—
178C2×C22⋊C4×C43C2311yescharacteristic
179C2×C22⋊C4×C43C2311yescharacteristic
180C2×C42×C43C2312yes—
181C2×C42×C43C2311yescharacteristic
182C2×C42×C43C2311yescharacteristic
183C2×C42×C43C2318yes—
184C2×C42×C43C2311yescharacteristic
185C2×C42×C43C2312yes—
186C2×C42×C43C2311yescharacteristic
187C24×C43C2411yescharacteristic
188C23×D43C2414yes—
189C2×Q8×C43—44no—
190C2×Q8×C43—44no—
191C2×Q8×C43C2418yes—
192C2×Q8×C43C2418yes—
193C22×C4×C43—24no—
194C22×C4×C43—44no—
195C22×C4×C43C2412yes—
196C22×C4×C43C2411yescharacteristic
197C22×C4×C43C2412yes—
198C22×C4×C43C2414yes—
199C22×C4×C43C2412yes—
200C22×C4×C43C2412yes—
201C22×C4×C43C2412yes—
202C22×C4×C43C2412yes—
203C22×C4×C43C2418yes—
204C22×C4×C43C2411yescharacteristic
205C2×C22⋊D43—48no—
206C2×C22⋊D43C24116yes—
207C22×Dic43C2414yes—
208C22×Dic43C2414yes—
209C22×Dic43C2414yes—
210C2×D172—28no—
211C2×D172—48no—
212C2×D172C2418yes—
213C2×D172C24116yes—
214C2×C4×D43—48no—
215C2×C4×D43—48no—
216C2×C4×D43—48no—
217C2×C4×D43C24116yes—
218C2×C4×D43C24116yes—
219C2×C4×D43C24116yes—
220C2×Dic86—28no—
221C2×Dic86—48no—
222C2×Dic86C2418yes—
223C2×Dic86C24116yes—
224C4⋊C4×C43C2418yes—
225C4⋊C4×C43C2418yes—
226C4⋊C4×C43C2418yes—
227C4⋊C4×C43C2418yes—
228C4⋊C4×C43C2418yes—
229C4⋊C4×C43C2418yes—
230C4⋊C4×C43C2418yes—
231C4⋊C4×C43C2418yes—
232C22⋊C4×C43C2418yes—
233C22⋊C4×C43C2414yes—
234C22⋊C4×C43C2414yes—
235C42×C43C2418yes—
236C42×C43C2414yes—
237C42×C43C2414yes—
238C42×C43C2414yes—
239C42×C43C2418yes—
240C42×C43C2414yes—
241C22⋊Dic43C24116yes—
242(C2×D43)⋊C4C24116yes—
243(C2×D43)⋊C4C24116yes—
244(C2×D43)⋊C4C24116yes—
245(C2×D43)⋊C4C24116yes—
246(C2×D43)⋊C4C24116yes—
247(C2×D43)⋊C4C24116yes—
248(C2×D43)⋊C4C24116yes—
249(C2×D43)⋊C4C24116yes—
250C4⋊Dic43C24116yes—
251C4⋊Dic43C24116yes—
252C4⋊Dic43C2418yes—
253C4⋊Dic43C2418yes—
254Dic43⋊C4C24116yes—
255Dic43⋊C4C24116yes—
256Dic43⋊C4C24116yes—
257Dic43⋊C4C24116yes—
258Dic43⋊C4C24116yes—
259Dic43⋊C4C24116yes—
260Dic43⋊C4C24116yes—
261Dic43⋊C4C24116yes—
262C4×Dic43C24116yes—
263C4×Dic43C24116yes—
264C4×Dic43C24116yes—
265C23×C43—22no—
266C23×C43—24no—
267C23×C43C2512yes—
268C23×C43C2511yescharacteristic
269C22×D43—28no—
270C22×D43—28no—
271C22×D43—28no—
272C22×D43C2518yes—
273Q8×C43—48no—
274Q8×C43—48no—
275C2×C4×C43—22no—
276C2×C4×C43—24no—
277C2×C4×C43—24no—
278C2×C4×C43—24no—
279C2×C4×C43—24no—
280C2×C4×C43—24no—
281C2×C4×C43—24no—
282C2×C4×C43—28no—
283C2×C4×C43—48no—
284C2×C4×C432−1+414yes—
285C2×C4×C43C2514yes—
286C2×C4×C43C2514yes—
287C2×C4×C43C2514yes—
288C2×C4×C43C2512yes—
289C2×C4×C43C2514yes—
290C2×C4×C43C2514yes—
291C2×C4×C43C2514yes—
292C2×C4×C43C2512yes—
293C22⋊D43—416no—
294C2×Dic43—28no—
295C2×Dic43—28no—
296C2×Dic43—28no—
297C2×Dic43C2518yes—
298C2×Dic43C2518yes—
299C2×Dic43C2518yes—
300D172—216no—
301D172—416no—
302C4×D43—416no—
303C4×D43—416no—
304C4×D43—416no—
305Dic86—216no—
306Dic86—416no—
307C2×#3557—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—24no—
310C22×C43—44no—
311C22×C43C2×2−1+412yes—
312C22×C43#58514yes—
313C22×C43C2611yescharacteristic
314C2×D43—28no—
315C2×D43—28no—
316C2×D43—28no—
317C2×D43—416no—
318C4×C43—22no—
319C4×C43—24no—
320C4×C43—24no—
321C4×C43—24no—
322C4×C43—24no—
323C4×C43—24no—
324C4×C43—24no—
325C4×C43C2×2−1+414yes—
326Dic43—28no—
327Dic43—28no—
328Dic43—28no—
329#3557—4332no—
330C2×#563—434no—
331C2×#559—432no—
332C2×#557—432no—
333C2×#556—432no—
334C2×#554—432no—
335C2×#552—434no—
336C2×#542—434no—
337C2×#542—432no—
338C2×#541—431no—
339C2×#540—431no—
340C2×#539—434no—
341C2×#533D4311yescharacteristic, complemented
342C2×#529—432no—
343C2×C43—42no—
344C2×C43#355714yescomplemented
345C2×C43C22×2−1+411yescharacteristic
346C2×C43C2×#58512yes—
347D43—48no—
348#563—4364no—
349#559—4332no—
350#557—4332no—
351#556—4332no—
352#554—4332no—
353#552—4364no—
354#542—4364no—
355#542—4332no—
356#541—4316no—
357#540—4316no—
358#539—4364no—
359#533C2×D43116yescomplemented
360C2×C4⋊Q8—434no—
361C2×C4⋊Q8—431no—
362C2×C4⋊Q8—432no—
363C2×C4⋊Q8C2×D4312yes—
364C2×#127—431no—
365#529—4332no—
366C2×#126—434no—
367C2×#126—434no—
368C2×#126—434no—
369C2×#126—434no—
370C2×#126—434no—
371C2×#125—434no—
372C2×#125—434no—
373C2×#125—434no—
374C2×#125—432no—
375C2×#125—431no—
376C2×#125—431no—
377C2×#125C2×D4312yes—
378C2×#124—434no—
379C2×#124—434no—
380C2×#124—432no—
381C2×#124—432no—
382C2×#123—434no—
383C2×#123—434no—
384C2×#123—434no—
385C2×#123—434no—
386C2×#123—434no—
387C2×C22⋊Q8—434no—
388C2×C22⋊Q8—434no—
389C2×C22⋊Q8—432no—
390C2×C22⋊Q8—434no—
391C2×C22⋊Q8—434no—
392C2×C22⋊Q8—434no—
393C2×C22⋊Q8C2×D4312yes—
394C2×C22⋊Q8C2×D4312yes—
395C2×#121—432no—
396C2×#121—434no—
397C2×C4×Q8—434no—
398C2×C4×Q8—432no—
399C2×C4×Q8—432no—
400C2×C4×Q8—432no—
401C2×C4×Q8C2×D4312yes—
402C2×C4×Q8C2×D4312yes—
403C2×C4×D4—434no—
404C2×C4×D4—434no—
405C2×C4×D4—432no—
406C2×C4×D4—432no—
407C2×C4×D4—432no—
408C2×#117—434no—
409C2×#117—434no—
410C2×#117C2×D4311yescharacteristic
411C2×#117C2×D4311yescharacteristic
412C22×C4⋊C4—434no—
413C22×C42C2×D4311yescharacteristic
414C43C2×#355711yescharacteristic, complemented, Sylow
415C22×Q8—432no—
416C22×Q8—434no—
417C22×Q8C22×D4312yes—
418C22×Q8C22×D4312yes—
419C22×D4—434no—
420C22×D4—432no—
421C22×D4—434no—
422C23×C4—434no—
423C23×C4—434no—
424C23×C4—434no—
425C23×C4C22×D4311yescharacteristic
426C23×C4C22×D4312yes—
427C4⋊Q8—4332no—
428C4⋊Q8—438no—
429C4⋊Q8—4316no—
430C4⋊Q8C22×D43116yes—
431#127—438no—
432#126—4332no—
433#126—4332no—
434#126—4332no—
435#126—4332no—
436#126—4332no—
437#125—4332no—
438#125—4332no—
439#125—4332no—
440#125—4316no—
441#125—438no—
442#125—438no—
443#125C22×D43116yes—
444#124—4332no—
445#124—4332no—
446#124—4316no—
447#124—4316no—
448#123—4332no—
449#123—4332no—
450#123—4332no—
451#123—4332no—
452#123—4332no—
453C22⋊Q8—4332no—
454C22⋊Q8—4332no—
455C22⋊Q8—4316no—
456C22⋊Q8—4332no—
457C22⋊Q8—4332no—
458C22⋊Q8—4332no—
459C22⋊Q8C22×D43116yes—
460C22⋊Q8C22×D43116yes—
461#121—4316no—
462#121—4332no—
463C4×Q8—4332no—
464C4×Q8—4316no—
465C4×Q8—4316no—
466C4×Q8—4316no—
467C4×Q8C22×D43116yes—
468C4×Q8C22×D43116yes—
469C4×D4—4332no—
470C4×D4—4332no—
471C4×D4—4316no—
472C4×D4—4316no—
473C4×D4—4316no—
474#117—4332no—
475#117—4332no—
476#117C22×D4318yes—
477#117C22×D4318yes—
478C2×C4⋊C4—434no—
479C2×C4⋊C4—434no—
480C2×C4⋊C4—434no—
481C2×C4⋊C4—434no—
482C2×C4⋊C4—434no—
483C2×C4⋊C4—432no—
484C2×C4⋊C4—432no—
485C2×C4⋊C4—434no—
486C2×C4⋊C4—434no—
487C2×C4⋊C4—434no—
488C2×C4⋊C4—434no—
489C2×C4⋊C4—434no—
490C2×C4⋊C4—4332no—
491C2×C4⋊C4C22×D4312yes—
492C2×C4⋊C4C22×D4312yes—
493C2×C4⋊C4C22×D4312yes—
494C2×C4⋊C4C22×D4312yes—
495C2×C4⋊C4C22×D4312yes—
496C2×C4⋊C4C22×D4312yes—
497C2×C4⋊C4C22×D4312yes—
498C2×C4⋊C4C22×D4312yes—
499C2×C22⋊C4—434no—
500C2×C22⋊C4—434no—
501C2×C22⋊C4—434no—
502C2×C22⋊C4—434no—
503C2×C22⋊C4—434no—
504C2×C22⋊C4—434no—
505C2×C22⋊C4—434no—
506C2×C22⋊C4—434no—
507C2×C22⋊C4—434no—
508C2×C22⋊C4C22×D4312yes—
509C2×C22⋊C4C22×D4311yescharacteristic
510C2×C22⋊C4C22×D4311yescharacteristic
511C2×C42—434no—
512C2×C42—434no—
513C2×C42—434no—
514C2×C42C22×D4311yescharacteristic
515C2×C42C22×D4311yescharacteristic
516C2×C42C22×D4312yes—
517C2×C42C22×D4311yescharacteristic
518C2×C42C22×D4312yes—
519C2×C42C22×D4311yescharacteristic
520C2×C42C22×D4318yes—
521C24—434no—
522C24C23×D4311yescharacteristic
523C2×Q8—44no—
524C2×Q8—44no—
525C2×Q8—438no—
526C2×Q8—4316no—
527C2×Q8—868no—
528C2×Q8—1728no—
529C2×Q8C23×D4318yes—
530C2×Q8C23×D4318yes—
531C2×D4—4316no—
532C2×D4—438no—
533C2×D4—4316no—
534C2×D4—868no—
535C2×D4—1728no—
536C2×D4—1728no—
537C22×C4—24no—
538C22×C4—44no—
539C22×C4—434no—
540C22×C4—434no—
541C22×C4—434no—
542C22×C4—4316no—
543C22×C4—4316no—
544C22×C4—4316no—
545C22×C4—1728no—
546C22×C4—1728no—
547C22×C4—1728no—
548C22×C4C23×D4314yes—
549C22×C4C23×D4312yes—
550C22×C4C23×D4312yes—
551C22×C4C23×D4312yes—
552C22×C4C23×D4311yescharacteristic
553C22×C4C23×D4312yes—
554C22×C4C23×D4312yes—
555C22×C4C23×D4312yes—
556C22×C4C23×D4318yes—
557C22×C4C23×D4311yescharacteristic
558C4⋊C4—4316no—
559C4⋊C4—4316no—
560C4⋊C4—4316no—
561C4⋊C4—4316no—
562C4⋊C4—4316no—
563C4⋊C4—438no—
564C4⋊C4—438no—
565C4⋊C4—4316no—
566C4⋊C4—4316no—
567C4⋊C4—4316no—
568C4⋊C4—4316no—
569C4⋊C4—4316no—
570C4⋊C4C23×D4318yes—
571C4⋊C4C23×D4318yes—
572C4⋊C4C23×D4318yes—
573C4⋊C4C23×D4318yes—
574C4⋊C4C23×D4318yes—
575C4⋊C4C23×D4318yes—
576C4⋊C4C23×D4318yes—
577C4⋊C4C23×D4318yes—
578C22⋊C4—4316no—
579C22⋊C4—4316no—
580C22⋊C4—4316no—
581C22⋊C4—4316no—
582C22⋊C4—4316no—
583C22⋊C4—4316no—
584C22⋊C4—4316no—
585C22⋊C4—4316no—
586C22⋊C4—4316no—
587C22⋊C4C23×D4318yes—
588C22⋊C4C23×D4314yes—
589C22⋊C4C23×D4314yes—
590C42—4316no—
591C42—4316no—
592C42—4316no—
593C42C23×D4314yes—
594C42C23×D4318yes—
595C42C23×D4314yes—
596C42C23×D4314yes—
597C42C23×D4318yes—
598C42C23×D4314yes—
599C23—22no—
600C23—24no—
601C23—438no—
602C23—868no—
603C23—868no—
604C23—868no—
605C23C24×D4312yes—
606C23C24×D4311yescharacteristic
607Q8—48no—
608Q8—48no—
609Q8—8616no—
610Q8—17216no—
611D4—8616no—
612D4—17216no—
613D4—17216no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—48no—
623C2×C4—438no—
624C2×C4—438no—
625C2×C4—438no—
626C2×C4—868no—
627C2×C4—868no—
628C2×C4—868no—
629C2×C4—17216no—
630C2×C4—17216no—
631C2×C4—17216no—
632C2×C4#1306337314yes—
633C2×C4C24×D4314yes—
634C2×C4C24×D4314yes—
635C2×C4C24×D4314yes—
636C2×C4C24×D4312yes—
637C2×C4C24×D4314yes—
638C2×C4C24×D4314yes—
639C2×C4C24×D4314yes—
640C2×C4C24×D4312yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—868no—
645C22—868no—
646C22—868no—
647C22—17216no—
648C22C2×#1306337312yes—
649C22#1458373514yes—
650C22C25×D4311yescharacteristic
651C4—22no—
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—868no—
659C4—868no—
660C4—868no—
661C4C2×#1306337314yes—
662C2—42no—
663C2—1728no—
664C2#1914910114yesdirect product factor
665C2C22×#1306337311yescharacteristic
666C2C2×#1458373512yes—
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#533C2
socleC23×C43C25
prime radicalC2×#14583504C2
hypercenterC2×#533D43
hypocenterC43C2×#3557
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#533

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19149101C2direct (N × H)
2. C2×#14583648C2semidirect
3. C2×#14583634C2semidirect
4. C2×#14583627C2semidirect
5. C2×#14583622C2semidirect
6. C2×#14583609C2semidirect
7. C2×#14583581C2semidirect
8. C2×#14583520C2semidirect
9. C2×#14583519C2semidirect
10. C2×#14583511C2semidirect
12. C2×#14583495C2semidirect
13. C2×#14583433C2semidirect
14. C2×C43×#533C2semidirect
15. #14583648C22semidirect
16. #14583634C22semidirect
17. #14583627C22semidirect
18. #14583622C22semidirect
19. #14583609C22semidirect
20. #14583581C22semidirect
21. #14583520C22semidirect
22. #14583519C22semidirect
23. #14583511C22semidirect
25. #14583495C22semidirect
30. #14583433C22semidirect
71. C43×#533C22semidirect
341. C2×#533D43semidirect
344. C2×C43#3557semidirect
359. #533C2×D43semidirect
414. C43C2×#3557semidirect
664. C2#19149101direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191491012
C2×#145836482
C2×#145836342
C2×#145836272
C2×#145836222
C2×#145836092
C2×#145835812
C2×#145835202
C2×#145835192
C2×#145835112
C2×#145835042
C2×#145834952
C2×#145834332
C2×C43×#5332
C2×#355743